SOLUTION: A square piece of cardboard is 12 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open box. Find polynomial

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A square piece of cardboard is 12 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open box. Find polynomial      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 349356: A square piece of cardboard is 12 inches on a side. A square piece x inches on a side is cut out from each corner. The flaps are then turned up to form an open box. Find polynomials that represent the volume and outside surface area of the box.

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
volume = w*h*l

volume = (12-2x)^3

volume = (x+y)(x+y)(x+y)

V = xxx+xxy+xyx+xyy+yxx+yxy+yyx+yyy

V = xxx+3xxy+3xyy+yyy

V = 12(12)(12)+3(12)(12)(-2x)+3(12)(-2x)(-2x…

V = 1728-864x+144x^2-8x^3

area = 5(12-2x)^2

area = 5(144-48x+4x^2)

area = 720-240x+20x^2